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Finding the Fourth Proportional to 948.83, 1,423.27 and 515.99

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Solution

The fourth proportional to 948.83, 1,423.27 and 515.99 is: 773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.83 : 1,423.27 = 515.99 : x
  2. Step 2: Convert to fraction form
    948.83/1,423.27 = 515.99/x
  3. Step 3: Cross multiply
    948.83x = 1,423.27 × 515.99
  4. Step 4: Simplify right side
    948.83x = 734,389.28
  5. Step 5: Solve for x
    x = 734,389.28/948.83
  6. Step 6: Final answer
    x = 773.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.